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Synchronization of brain activity fluctuations is believed to represent communication between spatially distant neural processes. These inter-areal functional interactions develop in the background of a complex network of axonal connections…

Neurons and Cognition · Quantitative Biology 2016-11-10 Ariel Haimovici , Pablo Balenzuela , Enzo Tagliazucchi

In order to understand the complex cognitive functions of the human brain, it is essential to study the structural connectome, i.e., the wiring of different brain regions to each other through axonal pathways. However, the high degree of…

Neurons and Cognition · Quantitative Biology 2021-01-25 Anand Pathak , Shakti N. Menon , Sitabhra Sinha

The human brain is organized as a complex network, where connections between regions are characterized by both functional connectivity (FC) and structural connectivity (SC). While previous studies have primarily focused on network-level…

Spectral networks derived from multivariate time series data arise in many domains, from brain science to Earth science. Often, it is of interest to study how these networks change under different conditions. For instance, to better…

Methodology · Statistics 2025-07-22 Michael Hellstern , Byol Kim , Zaid Harchaoui , Ali Shojaie

Random networks of symmetrically coupled, excitable elements can self-organize into coherently oscillating states if the networks contain loops (indeed loops are abundant in random networks) and if the initial conditions are sufficiently…

Disordered Systems and Neural Networks · Physics 2015-05-19 Patrick McGraw , Michael Menzinger

Sequential neuronal activity underlies a wide range of processes in the brain. Neuroscientific evidence for neuronal sequences has been reported in domains as diverse as perception, motor control, speech, spatial navigation and memory.…

Adaptation and Self-Organizing Systems · Physics 2020-04-03 Sascha Frölich , Dimitrije Marković , Stefan J. Kiebel

Epileptic seizure prediction from electroencephalographic (EEG) recordings remains challenging due to strong inter-patient variability and the complex temporal structure of neural signals. This paper presents a patient-adaptive transformer…

Machine Learning · Computer Science 2026-03-31 Mohamed Mahdi , Asma Baghdadi

Critical dynamics are assumed to be an attractive mode for normal brain functioning as information processing and computational capabilities are found to be optimized there. Recent experimental observations of neuronal activity patterns…

Neurons and Cognition · Quantitative Biology 2015-05-28 Christian Meisel , Alexander Storch , Susanne Hallmeyer-Elgner , Ed Bullmore , Thilo Gross

Accurately capturing individual differences in semantic networks is fundamental to advancing our mechanistic understanding of semantic memory. Past empirical attempts to construct individual-level semantic networks from behavioral paradigms…

Computation and Language · Computer Science 2024-10-25 Samuel Aeschbach , Rui Mata , Dirk U. Wulff

Epilepsy is a neurological disorder arising from anomalies of the electrical activity in the brain, affecting about 0.5--0.8\% of the world population. Several studies investigated the relationship between seizures and brainwave…

Machine Learning · Computer Science 2018-01-25 Paolo Detti , Garazi Zabalo Manrique de Lara , Renato Bruni , Marco Pranzo , Francesco Sarnari

We begin by demonstrating that the neuronal state equation from Dynamic Causal Modelling takes on the form of the discretized Fokker-Planck equation upon the inclusion of local activity gradients within a network. Using the Jacobian of this…

Quantitative Methods · Quantitative Biology 2019-11-27 Erik D. Fagerholm , Rosalyn J. Moran , Robert Leech

Successful epilepsy surgery depends on localising and resecting cerebral abnormalities and networks that generate seizures. Abnormalities, however, may be widely distributed across multiple discontiguous areas. We propose spatially…

Vagus Nerve Stimulation (VNS) is an established palliative treatment for drug resistant epilepsy. While effective for many patients, its mechanism of action is incompletely understood. Predicting individuals' response, or optimum…

Neurons and Cognition · Quantitative Biology 2024-06-06 John F. Ingham , Frances Hutchings , Paolo Zuliani , Yujiang Wang , Sadegh Soudjani , Peter N. Taylor

We investigate the influence of indirect connections, interregional distance and collective effects on the large-scale functional networks of the human cortex. We study topologies of empirically derived resting state networks (RSNs),…

Neurons and Cognition · Quantitative Biology 2013-02-18 Vesna Vuksanović , Philipp Hövel

Recent experimental advances are producing an avalanche of data on both neural connectivity and neural activity. To take full advantage of these two emerging datasets we need a framework that links them, revealing how collective neural…

Neurons and Cognition · Quantitative Biology 2020-02-27 Gabriel Koch Ocker , Krešimir Josić , Eric Shea-Brown , Michael A. Buice

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

Neurons and Cognition · Quantitative Biology 2011-09-23 Chun-Chung Chen , David Jasnow

Developing effective therapies against epilepsy remains a challenge. The complex and multifaceted nature of this disease still fuels controversies about its origin. In this perspective article, we argue that conflicting hypotheses can be…

Neurons and Cognition · Quantitative Biology 2022-06-22 Tristan Manfred Stöber , Danylo Batulin , Jochen Triesch , Rishikesh Narayanan , Peter Jedlicka

Epilepsy is a prevalent neurological disorder globally, impacting around 50 million people \cite{WHO_epilepsy_50million}. Epileptic seizures result from sudden abnormal electrical activity in the brain, which can be read as sudden and…

Machine Learning · Computer Science 2025-08-15 Mohammed Guhdar , Ramadhan J. Mstafa , Abdulhakeem O. Mohammed

The brain's structural connectome supports signal propagation between neuronal elements, shaping diverse coactivation patterns that can be captured as functional connectivity. While the link between structure and function remains an ongoing…

Neurons and Cognition · Quantitative Biology 2022-07-11 Yaqian Yang , Zhiming Zheng , Longzhao Liu , Hongwei Zheng , Yi Zhen , Yi Zheng , Xin Wang , Shaoting Tang

Background: Mathematical modeling approaches are becoming ever more established in clinical neuroscience. They provide insight that is key to understand complex interactions of network phenomena, in general, and interactions within the…

Neurons and Cognition · Quantitative Biology 2014-04-25 Markus A. Dahlem , Jürgen Kurths , Michel D. Ferrari , Kazuyuki Aihara , Marten Scheffer , Arne May